arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.12930cond-mat.dis-nncond-mat.mtrl-sci
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有限维(Ising)自旋玻璃中自旋玻璃相的性质

Nature of the Spin Glass Phase in Finite Dimensional (Ising) Spin Glasses

J. J. Ruiz-Lorenzo

摘要:

自旋玻璃是复杂系统的典范。这些材料呈现出非常缓慢的动力学。然而,有限维系统中的自旋玻璃相的性质仍然是有争议的。描述低温相的理论有:液滴理论、复本对称性破缺理论和混沌对理论。我们目前的分析研究自旋玻璃的临界性质,特别是,临界指数和以下的相变,存在的相变在磁场,计算较低的临界尺寸(在存在/不存在的磁场)。我们还介绍了一些严格的结果的概念的基础上的亚态。最后,我们报告了一些数值结果的建设的Aizenman-Wehr亚态,标度的关联函数在自旋玻璃阶段和存在的相变在一个领域,面对这些结果与不同的理论的预测。

英文摘要:

Spin glasses are the paradigm of complex systems. These materials present really slow dynamics. However, the nature of the spin glass phase in finite dimensional systems is still controversial. Different theories describing the low temperature phase have been proposed: droplet, replica symmetry breaking and chaotic pairs. We present analytical studies of critical properties of spin glasses, in particular, critical exponents at and below the phase transition, existence of a phase transition in a magnetic field, computation of the lower critical dimension (in presence/absence of a magnetic field). We also introduce some rigorous results based on the concept of metastate. Finally, we report some numerical results regarding the construction of the Aizenman-Wehr metastate, scaling of the correlation functions in the spin glass phase and existence of a phase transition in a field, confronting these results with the predictions of different theories.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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